Pith Number

pith:CAYRLIN4

pith:2004:CAYRLIN4YRZ74UL3DIKAP4PT5V

not attested not anchored not stored refs pending

Minimum Length from Quantum Mechanics and Classical General Relativity

Michael Graesser, Stephen D.H. Hsu, Xavier Calmet

arxiv:hep-th/0405033 v2 · 2004-05-04 · hep-th · gr-qc · hep-ph · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAYRLIN4YRZ74UL3DIKAP4PT5V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T16:48:47.537667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103115a1bcc473fe517b1a1407f1f3ed5532bb2288c4ed8b72779829586d93f5

Aliases

arxiv: hep-th/0405033 · arxiv_version: hep-th/0405033v2 · doi: 10.48550/arxiv.hep-th/0405033 · pith_short_12: CAYRLIN4YRZ7 · pith_short_16: CAYRLIN4YRZ74UL3 · pith_short_8: CAYRLIN4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CAYRLIN4YRZ74UL3DIKAP4PT5V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 103115a1bcc473fe517b1a1407f1f3ed5532bb2288c4ed8b72779829586d93f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc731ccaf7fb362f7ffaa80850a877e04835103531e3eb6093ce179a2578ba04",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-05-04T19:14:55Z",
    "title_canon_sha256": "7bb76763fa6bad5120ebdd6eaed544083e239b18527c0788a51854302f7562b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0405033",
    "kind": "arxiv",
    "version": 2
  }
}